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<div class="colmask rightmenu">
<div class="colleft">
    <div class="col1">
      <!-- Column 1 start -->

<div id="title">
        <span class="fn">math.Bezier</span>
        <span>Extends</span>
        <span class="fn-name">
          
        </span>
</div>

<div class="g-section g-tpl-75-25">
  <div class="g-unit g-first" id="description">
    Object representing a cubic bezier curve.

  </div>


        <div class="g-unit" id="useful-links">
          <div class="title">Useful links</div>
          <ol>
            <li><a href="local_closure_goog_math_bezier.js.source.html"><span class='source-code-link'>Source Code</span></a></li>
            <li><a href="http://code.google.com/p/closure-library/source/browse/local/closure/goog/math/bezier.js">Git</a></li>
          </ol>
        </div>
</div>






<h2 class="g-first">Inheritance</h2>
<div class='gviz-org-chart-container goog-inline-block'>
<table class='gviz-org-chart' style='display:none'>
  <tr><td>goog.math.Bezier</td><td></td></tr>
</table>
</div>
<div class='gviz-org-chart-container goog-inline-block'>
<table class='gviz-org-chart' style='display:none'>
</table>
</div>




  <h2>Constructor</h2>
      <div class="fn-constructor">
    goog.math.Bezier(<span><span class="arg">x0</span>,&nbsp;<span class="arg">y0</span>,&nbsp;<span class="arg">x1</span>,&nbsp;<span class="arg">y1</span>,&nbsp;<span class="arg">x2</span>,&nbsp;<span class="arg">y2</span>,&nbsp;<span class="arg">x3</span>,&nbsp;<span class="arg">y3</span></span>)
  </div>

   <h3>Parameters</h3>






<table class="horiz-rule">
     
   <tr class="even">
     <td>
        <span class="entryName">x0</span>
        : <span class="type"><a href="https://developer.mozilla.org/en/Core_JavaScript_1.5_Reference/Global_Objects/Number">number</a></span>
        <div class="entryOverview">X coordinate of the start point.</div>
     </td>
   </tr>
     
   <tr class="odd">
     <td>
        <span class="entryName">y0</span>
        : <span class="type"><a href="https://developer.mozilla.org/en/Core_JavaScript_1.5_Reference/Global_Objects/Number">number</a></span>
        <div class="entryOverview">Y coordinate of the start point.</div>
     </td>
   </tr>
     
   <tr class="even">
     <td>
        <span class="entryName">x1</span>
        : <span class="type"><a href="https://developer.mozilla.org/en/Core_JavaScript_1.5_Reference/Global_Objects/Number">number</a></span>
        <div class="entryOverview">X coordinate of the first control point.</div>
     </td>
   </tr>
     
   <tr class="odd">
     <td>
        <span class="entryName">y1</span>
        : <span class="type"><a href="https://developer.mozilla.org/en/Core_JavaScript_1.5_Reference/Global_Objects/Number">number</a></span>
        <div class="entryOverview">Y coordinate of the first control point.</div>
     </td>
   </tr>
     
   <tr class="even">
     <td>
        <span class="entryName">x2</span>
        : <span class="type"><a href="https://developer.mozilla.org/en/Core_JavaScript_1.5_Reference/Global_Objects/Number">number</a></span>
        <div class="entryOverview">X coordinate of the second control point.</div>
     </td>
   </tr>
     
   <tr class="odd">
     <td>
        <span class="entryName">y2</span>
        : <span class="type"><a href="https://developer.mozilla.org/en/Core_JavaScript_1.5_Reference/Global_Objects/Number">number</a></span>
        <div class="entryOverview">Y coordinate of the second control point.</div>
     </td>
   </tr>
     
   <tr class="even">
     <td>
        <span class="entryName">x3</span>
        : <span class="type"><a href="https://developer.mozilla.org/en/Core_JavaScript_1.5_Reference/Global_Objects/Number">number</a></span>
        <div class="entryOverview">X coordinate of the end point.</div>
     </td>
   </tr>
     
   <tr class="odd">
     <td>
        <span class="entryName">y3</span>
        : <span class="type"><a href="https://developer.mozilla.org/en/Core_JavaScript_1.5_Reference/Global_Objects/Number">number</a></span>
        <div class="entryOverview">Y coordinate of the end point.</div>
     </td>
   </tr>
  </table>


<h2>Instance Methods</h2>


  <div class="legend">
        <span class="key publickey"></span><span>Public</span>
        <span class="key protectedkey"></span><span>Protected</span>
        <span class="key privatekey"></span><span>Private</span>
  </div>







<div>
       <div class="desc">
         Defined in
         <span class="fn-name">
            <a href="class_goog_math_Bezier.html">
              goog.math.Bezier
            </a>
         </span>
       </div>






<div class="section">
  <table class="horiz-rule">


     <tr class="even entry public">
       <td class="access"></td>






  <td>
    <a name="goog.math.Bezier.prototype.clone"></a>


     <div class="arg">
       <img align="left" src="static/images/blank.gif">

        <span class="entryName">clone<span class="args">()</span>
        </span>
        &#8658; <span>!</span><span class="type"><a href="class_goog_math_Bezier.html">goog.math.Bezier</a></span>
      </div>


     <div class="entryOverview">
       <span class='nodesc'>No description.</span>
     </div>


    <! -- Method details -->
    <div class="entryDetails">

   
      <div class="detailsSection">
        <b>Returns:</b>&nbsp;<span>!</span><span class="type"><a href="class_goog_math_Bezier.html">goog.math.Bezier</a></span>&nbsp;
            A copy of this curve.
      </div>
  
    </div>
   
  </td>


  <td class="view-code">
     <a href="local_closure_goog_math_bezier.js.source.html#line111">code &raquo;</a>
  </td>
     </tr>


     <tr class="odd entry public">
       <td class="access"></td>






  <td>
    <a name="goog.math.Bezier.prototype.equals"></a>


     <div class="arg">
       <img align="left" src="static/images/blank.gif">

        <span class="entryName">equals<span class="args">(<span class="arg">other</span>)</span>
        </span>
        &#8658; <span class="type"><a href="https://developer.mozilla.org/en/Core_JavaScript_1.5_Reference/Global_Objects/Boolean">boolean</a></span>
      </div>


     <div class="entryOverview">
       Test if the given curve is exactly the same as this one.

     </div>


    <! -- Method details -->
    <div class="entryDetails">

      <div class="detailsSection">
        <b>Arguments: </b>






<table class="horiz-rule">
     
   <tr class="even">
     <td>
        <span class="entryName">other</span>
        : <span class="type"><a href="class_goog_math_Bezier.html">goog.math.Bezier</a></span>
        <div class="entryOverview">The other curve.</div>
     </td>
   </tr>
  </table>
      </div>
   
      <div class="detailsSection">
        <b>Returns:</b>&nbsp;<span class="type"><a href="https://developer.mozilla.org/en/Core_JavaScript_1.5_Reference/Global_Objects/Boolean">boolean</a></span>&nbsp;
            Whether the given curve is the same as this one.
      </div>
  
    </div>
   
  </td>


  <td class="view-code">
     <a href="local_closure_goog_math_bezier.js.source.html#line122">code &raquo;</a>
  </td>
     </tr>


     <tr class="even entry public">
       <td class="access"></td>






  <td>
    <a name="goog.math.Bezier.prototype.flip"></a>


     <div class="arg">
       <img align="left" src="static/images/blank.gif">

        <span class="entryName">flip<span class="args">()</span>
        </span>
      </div>


     <div class="entryOverview">
       Modifies the curve in place to progress in the opposite direction.

     </div>

   
  </td>


  <td class="view-code">
     <a href="local_closure_goog_math_bezier.js.source.html#line132">code &raquo;</a>
  </td>
     </tr>


     <tr class="odd entry public">
       <td class="access"></td>






  <td>
    <a name="goog.math.Bezier.prototype.getPoint"></a>


     <div class="arg">
       <img align="left" src="static/images/blank.gif">

        <span class="entryName">getPoint<span class="args">(<span class="arg">t</span>)</span>
        </span>
        &#8658; <span>!</span><span class="type"><a href="class_goog_math_Coordinate.html">goog.math.Coordinate</a></span>
      </div>


     <div class="entryOverview">
       Computes the curve at a point between 0 and 1.

     </div>


    <! -- Method details -->
    <div class="entryDetails">

      <div class="detailsSection">
        <b>Arguments: </b>






<table class="horiz-rule">
     
   <tr class="even">
     <td>
        <span class="entryName">t</span>
        : <span class="type"><a href="https://developer.mozilla.org/en/Core_JavaScript_1.5_Reference/Global_Objects/Number">number</a></span>
        <div class="entryOverview">The point on the curve to find.</div>
     </td>
   </tr>
  </table>
      </div>
   
      <div class="detailsSection">
        <b>Returns:</b>&nbsp;<span>!</span><span class="type"><a href="class_goog_math_Coordinate.html">goog.math.Coordinate</a></span>&nbsp;
            The computed coordinate.
      </div>
  
    </div>
   
  </td>


  <td class="view-code">
     <a href="local_closure_goog_math_bezier.js.source.html#line208">code &raquo;</a>
  </td>
     </tr>


     <tr class="even entry public">
       <td class="access"></td>






  <td>
    <a name="goog.math.Bezier.prototype.getPointX"></a>


     <div class="arg">
       <img align="left" src="static/images/blank.gif">

        <span class="entryName">getPointX<span class="args">(<span class="arg">t</span>)</span>
        </span>
        &#8658; <span class="type"><a href="https://developer.mozilla.org/en/Core_JavaScript_1.5_Reference/Global_Objects/Number">number</a></span>
      </div>


     <div class="entryOverview">
       Computes the curve's X coordinate at a point between 0 and 1.

     </div>


    <! -- Method details -->
    <div class="entryDetails">

      <div class="detailsSection">
        <b>Arguments: </b>






<table class="horiz-rule">
     
   <tr class="even">
     <td>
        <span class="entryName">t</span>
        : <span class="type"><a href="https://developer.mozilla.org/en/Core_JavaScript_1.5_Reference/Global_Objects/Number">number</a></span>
        <div class="entryOverview">The point on the curve to find.</div>
     </td>
   </tr>
  </table>
      </div>
   
      <div class="detailsSection">
        <b>Returns:</b>&nbsp;<span class="type"><a href="https://developer.mozilla.org/en/Core_JavaScript_1.5_Reference/Global_Objects/Number">number</a></span>&nbsp;
            The computed coordinate.
      </div>
  
    </div>
   
  </td>


  <td class="view-code">
     <a href="local_closure_goog_math_bezier.js.source.html#line154">code &raquo;</a>
  </td>
     </tr>


     <tr class="odd entry public">
       <td class="access"></td>






  <td>
    <a name="goog.math.Bezier.prototype.getPointY"></a>


     <div class="arg">
       <img align="left" src="static/images/blank.gif">

        <span class="entryName">getPointY<span class="args">(<span class="arg">t</span>)</span>
        </span>
        &#8658; <span class="type"><a href="https://developer.mozilla.org/en/Core_JavaScript_1.5_Reference/Global_Objects/Number">number</a></span>
      </div>


     <div class="entryOverview">
       Computes the curve's Y coordinate at a point between 0 and 1.

     </div>


    <! -- Method details -->
    <div class="entryDetails">

      <div class="detailsSection">
        <b>Arguments: </b>






<table class="horiz-rule">
     
   <tr class="even">
     <td>
        <span class="entryName">t</span>
        : <span class="type"><a href="https://developer.mozilla.org/en/Core_JavaScript_1.5_Reference/Global_Objects/Number">number</a></span>
        <div class="entryOverview">The point on the curve to find.</div>
     </td>
   </tr>
  </table>
      </div>
   
      <div class="detailsSection">
        <b>Returns:</b>&nbsp;<span class="type"><a href="https://developer.mozilla.org/en/Core_JavaScript_1.5_Reference/Global_Objects/Number">number</a></span>&nbsp;
            The computed coordinate.
      </div>
  
    </div>
   
  </td>


  <td class="view-code">
     <a href="local_closure_goog_math_bezier.js.source.html#line181">code &raquo;</a>
  </td>
     </tr>


     <tr class="even entry public">
       <td class="access"></td>






  <td>
    <a name="goog.math.Bezier.prototype.solvePositionFromXValue"></a>


     <div class="arg">
       <img align="left" src="static/images/blank.gif">

        <span class="entryName">solvePositionFromXValue<span class="args">(<span class="arg">xVal</span>)</span>
        </span>
        &#8658; <span class="type"><a href="https://developer.mozilla.org/en/Core_JavaScript_1.5_Reference/Global_Objects/Number">number</a></span>
      </div>


     <div class="entryOverview">
       Computes the position t of a point on the curve given its x coordinate.
That is, for an input xVal, finds t s.t. getPointX(t) = xVal.
As such, the following should always be true up to some small epsilon:
t ~ solvePositionFromXValue(getPointX(t)) for t in [0, 1].

     </div>


    <! -- Method details -->
    <div class="entryDetails">

      <div class="detailsSection">
        <b>Arguments: </b>






<table class="horiz-rule">
     
   <tr class="even">
     <td>
        <span class="entryName">xVal</span>
        : <span class="type"><a href="https://developer.mozilla.org/en/Core_JavaScript_1.5_Reference/Global_Objects/Number">number</a></span>
        <div class="entryOverview">The x coordinate of the point to find on the curve.</div>
     </td>
   </tr>
  </table>
      </div>
   
      <div class="detailsSection">
        <b>Returns:</b>&nbsp;<span class="type"><a href="https://developer.mozilla.org/en/Core_JavaScript_1.5_Reference/Global_Objects/Number">number</a></span>&nbsp;
            The position t.
      </div>
  
    </div>
   
  </td>


  <td class="view-code">
     <a href="local_closure_goog_math_bezier.js.source.html#line283">code &raquo;</a>
  </td>
     </tr>


     <tr class="odd entry public">
       <td class="access"></td>






  <td>
    <a name="goog.math.Bezier.prototype.solveYValueFromXValue"></a>


     <div class="arg">
       <img align="left" src="static/images/blank.gif">

        <span class="entryName">solveYValueFromXValue<span class="args">(<span class="arg">xVal</span>)</span>
        </span>
        &#8658; <span class="type"><a href="https://developer.mozilla.org/en/Core_JavaScript_1.5_Reference/Global_Objects/Number">number</a></span>
      </div>


     <div class="entryOverview">
       Computes the y coordinate of a point on the curve given its x coordinate.

     </div>


    <! -- Method details -->
    <div class="entryDetails">

      <div class="detailsSection">
        <b>Arguments: </b>






<table class="horiz-rule">
     
   <tr class="even">
     <td>
        <span class="entryName">xVal</span>
        : <span class="type"><a href="https://developer.mozilla.org/en/Core_JavaScript_1.5_Reference/Global_Objects/Number">number</a></span>
        <div class="entryOverview">The x coordinate of the point on the curve.</div>
     </td>
   </tr>
  </table>
      </div>
   
      <div class="detailsSection">
        <b>Returns:</b>&nbsp;<span class="type"><a href="https://developer.mozilla.org/en/Core_JavaScript_1.5_Reference/Global_Objects/Number">number</a></span>&nbsp;
            The y coordinate of the point on the curve.
      </div>
  
    </div>
   
  </td>


  <td class="view-code">
     <a href="local_closure_goog_math_bezier.js.source.html#line337">code &raquo;</a>
  </td>
     </tr>


     <tr class="even entry public">
       <td class="access"></td>






  <td>
    <a name="goog.math.Bezier.prototype.subdivide"></a>


     <div class="arg">
       <img align="left" src="static/images/blank.gif">

        <span class="entryName">subdivide<span class="args">(<span class="arg">s</span>,&nbsp;<span class="arg">t</span>)</span>
        </span>
      </div>


     <div class="entryOverview">
       Changes this curve in place to be the portion of itself from [s, t].

     </div>


    <! -- Method details -->
    <div class="entryDetails">

      <div class="detailsSection">
        <b>Arguments: </b>






<table class="horiz-rule">
     
   <tr class="even">
     <td>
        <span class="entryName">s</span>
        : <span class="type"><a href="https://developer.mozilla.org/en/Core_JavaScript_1.5_Reference/Global_Objects/Number">number</a></span>
        <div class="entryOverview">The start of the desired portion of the curve.</div>
     </td>
   </tr>
     
   <tr class="odd">
     <td>
        <span class="entryName">t</span>
        : <span class="type"><a href="https://developer.mozilla.org/en/Core_JavaScript_1.5_Reference/Global_Objects/Number">number</a></span>
        <div class="entryOverview">The end of the desired portion of the curve.</div>
     </td>
   </tr>
  </table>
      </div>
   
  
    </div>
   
  </td>


  <td class="view-code">
     <a href="local_closure_goog_math_bezier.js.source.html#line269">code &raquo;</a>
  </td>
     </tr>


     <tr class="odd entry public">
       <td class="access"></td>






  <td>
    <a name="goog.math.Bezier.prototype.subdivideLeft"></a>


     <div class="arg">
       <img align="left" src="static/images/blank.gif">

        <span class="entryName">subdivideLeft<span class="args">(<span class="arg">t</span>)</span>
        </span>
      </div>


     <div class="entryOverview">
       Changes this curve in place to be the portion of itself from [t, 1].

     </div>


    <! -- Method details -->
    <div class="entryDetails">

      <div class="detailsSection">
        <b>Arguments: </b>






<table class="horiz-rule">
     
   <tr class="even">
     <td>
        <span class="entryName">t</span>
        : <span class="type"><a href="https://developer.mozilla.org/en/Core_JavaScript_1.5_Reference/Global_Objects/Number">number</a></span>
        <div class="entryOverview">The start of the desired portion of the curve.</div>
     </td>
   </tr>
  </table>
      </div>
   
  
    </div>
   
  </td>


  <td class="view-code">
     <a href="local_closure_goog_math_bezier.js.source.html#line217">code &raquo;</a>
  </td>
     </tr>


     <tr class="even entry public">
       <td class="access"></td>






  <td>
    <a name="goog.math.Bezier.prototype.subdivideRight"></a>


     <div class="arg">
       <img align="left" src="static/images/blank.gif">

        <span class="entryName">subdivideRight<span class="args">(<span class="arg">t</span>)</span>
        </span>
      </div>


     <div class="entryOverview">
       Changes this curve in place to be the portion of itself from [0, t].

     </div>


    <! -- Method details -->
    <div class="entryDetails">

      <div class="detailsSection">
        <b>Arguments: </b>






<table class="horiz-rule">
     
   <tr class="even">
     <td>
        <span class="entryName">t</span>
        : <span class="type"><a href="https://developer.mozilla.org/en/Core_JavaScript_1.5_Reference/Global_Objects/Number">number</a></span>
        <div class="entryOverview">The end of the desired portion of the curve.</div>
     </td>
   </tr>
  </table>
      </div>
   
  
    </div>
   
  </td>


  <td class="view-code">
     <a href="local_closure_goog_math_bezier.js.source.html#line257">code &raquo;</a>
  </td>
     </tr>


  </table>
</div>
</div>




<h2>Instance Properties</h2>







<div>
       <div class="desc">
         Defined in
         <span class="fn-name">
            <a href="class_goog_math_Bezier.html">
              goog.math.Bezier
            </a>
         </span>
       </div>






<div class="section">
  <table class="horiz-rule">


     <tr class="even entry public">
       <td class="access"></td>





  <a name="goog.math.Bezier.prototype.x0"></a>

  <td>


     <div class="arg">
        <img align="left" src="static/images/blank.gif">

        <span class="entryName">x0</span>
        : 
     </div>


     <div class="entryOverview">
       X coordinate of the first point.

     </div>

  </td>


  <td class="view-code">
     <a href="local_closure_goog_math_bezier.js.source.html#line54">Code &raquo;</a>
  </td>
     </tr>


     <tr class="odd entry public">
       <td class="access"></td>





  <a name="goog.math.Bezier.prototype.x1"></a>

  <td>


     <div class="arg">
        <img align="left" src="static/images/blank.gif">

        <span class="entryName">x1</span>
        : 
     </div>


     <div class="entryOverview">
       X coordinate of the first control point.

     </div>

  </td>


  <td class="view-code">
     <a href="local_closure_goog_math_bezier.js.source.html#line66">Code &raquo;</a>
  </td>
     </tr>


     <tr class="even entry public">
       <td class="access"></td>





  <a name="goog.math.Bezier.prototype.x2"></a>

  <td>


     <div class="arg">
        <img align="left" src="static/images/blank.gif">

        <span class="entryName">x2</span>
        : 
     </div>


     <div class="entryOverview">
       X coordinate of the second control point.

     </div>

  </td>


  <td class="view-code">
     <a href="local_closure_goog_math_bezier.js.source.html#line78">Code &raquo;</a>
  </td>
     </tr>


     <tr class="odd entry public">
       <td class="access"></td>





  <a name="goog.math.Bezier.prototype.x3"></a>

  <td>


     <div class="arg">
        <img align="left" src="static/images/blank.gif">

        <span class="entryName">x3</span>
        : 
     </div>


     <div class="entryOverview">
       X coordinate of the end point.

     </div>

  </td>


  <td class="view-code">
     <a href="local_closure_goog_math_bezier.js.source.html#line90">Code &raquo;</a>
  </td>
     </tr>


     <tr class="even entry public">
       <td class="access"></td>





  <a name="goog.math.Bezier.prototype.y0"></a>

  <td>


     <div class="arg">
        <img align="left" src="static/images/blank.gif">

        <span class="entryName">y0</span>
        : 
     </div>


     <div class="entryOverview">
       Y coordinate of the first point.

     </div>

  </td>


  <td class="view-code">
     <a href="local_closure_goog_math_bezier.js.source.html#line60">Code &raquo;</a>
  </td>
     </tr>


     <tr class="odd entry public">
       <td class="access"></td>





  <a name="goog.math.Bezier.prototype.y1"></a>

  <td>


     <div class="arg">
        <img align="left" src="static/images/blank.gif">

        <span class="entryName">y1</span>
        : 
     </div>


     <div class="entryOverview">
       Y coordinate of the first control point.

     </div>

  </td>


  <td class="view-code">
     <a href="local_closure_goog_math_bezier.js.source.html#line72">Code &raquo;</a>
  </td>
     </tr>


     <tr class="even entry public">
       <td class="access"></td>





  <a name="goog.math.Bezier.prototype.y2"></a>

  <td>


     <div class="arg">
        <img align="left" src="static/images/blank.gif">

        <span class="entryName">y2</span>
        : 
     </div>


     <div class="entryOverview">
       Y coordinate of the second control point.

     </div>

  </td>


  <td class="view-code">
     <a href="local_closure_goog_math_bezier.js.source.html#line84">Code &raquo;</a>
  </td>
     </tr>


     <tr class="odd entry public">
       <td class="access"></td>





  <a name="goog.math.Bezier.prototype.y3"></a>

  <td>


     <div class="arg">
        <img align="left" src="static/images/blank.gif">

        <span class="entryName">y3</span>
        : 
     </div>


     <div class="entryOverview">
       Y coordinate of the end point.

     </div>

  </td>


  <td class="view-code">
     <a href="local_closure_goog_math_bezier.js.source.html#line96">Code &raquo;</a>
  </td>
     </tr>


  </table>
</div>
</div>










<div class="section">
  <table class="horiz-rule">


  </table>
</div>



<h2>Static Properties</h2>






<div class="section">
  <table class="horiz-rule">


     <tr class="even entry public">
       <td class="access"></td>





  <a name="goog.math.Bezier.KAPPA"></a>

  <td>


     <div class="arg">
        <img align="left" src="static/images/blank.gif">

        <span class="entryNamespace">goog.math.Bezier.</span><span class="entryName">KAPPA</span>
        : 
     </div>


     <div class="entryOverview">
       Constant used to approximate ellipses.
See: <a href="http://canvaspaint.org/blog/2006/12/ellipse/">http://canvaspaint.org/blog/2006/12/ellipse/</a>

     </div>

  </td>


  <td class="view-code">
     <a href="local_closure_goog_math_bezier.js.source.html#line105">Code &raquo;</a>
  </td>
     </tr>


  </table>
</div>









<div class="section">
  <table class="horiz-rule">


  </table>
</div>
      <!-- Column 1 end -->
    </div>

        <div class="col2">
          <!-- Column 2 start -->
          <div class="col2-c">
            <h2 id="ref-head">Package math</h2>
            <div id="localView"></div>
          </div>

          <div class="col2-c">
            <h2 id="ref-head">Package Reference</h2>
            <div id="sideTypeIndex" rootPath="" current="math.Bezier"></div>
          </div>
          <!-- Column 2 end -->
        </div>
</div>
</div>

</body>
</html>
